49239610000 has 225 divisors, whose sum is σ = 139116381789. Its totient is φ = 16828896000.

The previous prime is 49239609971. The next prime is 49239610001. The reversal of 49239610000 is 1693294.

The square root of 49239610000 is 221900.

It is a perfect power (a square), and thus also a powerful number.

49239610000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 49140248976 + 99361024 = 221676^2 + 9968^2 .

It is not an unprimeable number, because it can be changed into a prime (49239610001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 155329842 + ... + 155330158.

Almost surely, 2^49239610000 is an apocalyptic number.

49239610000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49239610000 is the 221900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49239610000

49239610000 is an abundant number, since it is smaller than the sum of its proper divisors (89876771789).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49239610000 is an frugal number, since it uses more digits than its factorization.

49239610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

Multiplying 49239610000 by its product of nonzero digits (11664), we get a square (574330811040000 = 23965200²).

The spelling of 49239610000 in words is "forty-nine billion, two hundred thirty-nine million, six hundred ten thousand".